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February 18, 2013

Platonism: An Abuser's Guide

by Dave Maier

In my recent post on Nietzsche I referred to Platonism as "the ancient enemy," and criticized certain kinds of naturalism for not overcoming it, or for even, ultimately, amounting to it themselves. In this post I consider the sense in which a robust anti-Platonism is a philosophical imperative for our post-medieval era.

Plato and AristotleLet me be clear (as our President likes to say): Plato deserves his exalted place in the philosophical pantheon. He's a terrific writer, and Platonism was a brilliant and timely synthesis of Pythagorean, Parmenidean, and Socratic ideas into the very backbone of European philosophical thought for some 2000 years. And I have nothing against the medieval worldview either, except what is entailed by the simple if as yet poorly understood fact that it's not the 13th century anymore.

But we cannot afford complacency. Modernity is stuck, and while Nietzsche's own construal of the problem as that of "nihilism" in the wake of the "death of God" is in many ways unhelpful, he was spot on in his perception of its urgency. What is right in Platonism must be detached from what is no longer useful in it, or we will never understand the ways in which, by now at least, we have torn ourselves apart. What is no longer useful in Platonism is what I call the "ancient enemy". Our problem is that we can no longer see it for what it is. We see it when it is not there, and look right through it when it is.

Naturally I am taking some interpretive liberties to make my point, which can be made in other ways. In fact one of the difficulties here is that once you get that point, you could perfectly well present it as just as much a victory for Platonism as a defeat. (And that would even be okay, if the point stuck; but for reasons I will try to make clear, that seems most unlikely – so anti-Platonists let us be.) This makes the problem very difficult to state, so please bear with me as I display its difficulty in the most direct way: by struggling.

...

Hardly anybody today admits to being a Platonist. To do so invites the assumption that one subscribes to Plato's most well-known doctrine, the Theory of Forms (or Ideas), which literally no one does anymore. Here's the Philosophy 101 version of that theory. Each particular horse differs in many ways from each other horse; but what they share is that they are all horses. To be a horse is to "participate" (metekhein) in the Form or Idea of Horse, which (here's the weird part) is itself a horse – the perfect Horse, with none of the imperfections of merely physical horses. The Form of Horse is of course identical with itself, which is by definition the closest you can get to Ideal; so it must be a horse too, even more so, if you like, than any of the others. Consider some particular horse, say Secretariat. We think he's a real horse. We can see him, ride him, and so on; what more do you want? Of course he's real. But as Socrates tells it in the Republic, we think this way only because we're stuck in the Cave. We don't encounter the really real with our senses; we grasp it with our minds. Only by abstracting away from individual horses do we uncover the real essence of Horse; that is, do we understand what it is to be a horse in the first place, and see how – while they are indeed horses, due to their participation in the Form – the horses we see and ride are merely pale shadows of reality.

We hear more about this in the part about the Divided Line, which uses triangles as its example. Here Socrates discusses four levels of reality: images of physical figures, the physical figures themselves, individual abstract triangles, and at the top, the Form of Triangle. The Line makes it clearer that the physical/sensual vs. mental/intellectual distinction is only one aspect of the problem, the central distinction being that between universals (or essences) and particulars (or individuals). Naturally we can't see essences; but even when we get into the mind, and consider, say, a 30-60-90 triangle, we are still talking about a particular (type of) triangle.

Once you get on this train it's hard to stop. Plato continues his story by telling us what happens outside the cave, where we are blinded by the Sun. In other words, even the philosopher's mind, only newly freed from the Cave, cannot grasp the ultimate reality. If to be a particular sort of thing is to participate in the Form of that thing, then since the Form of X is the perfect, abstract X, then the Form of Forms is Perfection itself, or the Good.

So construed, the regress stops there. Perfection = the Ideal in every sense: the True, the Good, and the Beautiful. But their (its) very perfection puts this rarified level of reality beyond our grasp, surrounded as even philosophers are with merely particular, individual things (even abstract ones like triangles). Yet it is in that direction that we must direct our every effort: in reasoning, in acting, in being. Not to do this would be to deny our very nature as human beings (= rational animals) and return to the level of beasts.

Duck DodgersIt's a powerful picture, not least because it's so relentlessly consistent. All the arrows point in the same direction: up. (We laugh at Duck Dodgers's announcement that he will start his trip to Planet X by going "33,600 turbo-miles due Up" thanks only to our post-Copernican perspective on such matters.) And we surely recognize the relentless, dispiriting force of earthly gravity, so to speak, pulling us away from what we naturally think of as our better, higher selves – or at least the effects of same on others. It's a struggle to be rational, to be good, to be … well, not beautiful, but either to create beauty oneself or to find really timeless beauty among merely superficially sensuous pleasures. What should one strive for if not an ideal?

Still, that bit about the Forms sounds funny. Even after hearing about the Cave, it's hard to think of that horse right there as being less real than some abstract-but-real Horse cantering about in Plato's Heaven with the Form of Triangle and whatnot. This is why (on the standard story) we see in Raphael's famous allegorical painting The School of Athens (above) that while Plato points up, Aristotle is either (depending on whom you ask) pointing down or making a horizontal gesture, in either case supposedly indicating his contrasting emphasis on the particular things of our world over the Forms of another.

In fact, Aristotle is often thought to have refuted Plato's theory via what is called the "Third Man" argument (no time to explain; must press on – but see here for a compressed version). So what's the problem? Why worry about Platonism today?

...

The enduring strength of the Platonic picture comes from its truth. Following Parmenides, Platonism rightly separates what we have subsequently come to understand as the conceptual truths of logic and mathematics from those of ordinary empirical inquiry. Yet this insight was just as fragile as it was important. The gap between the two realms needed to be propped open for the proper approach to each, and their relation, to become clear. Without this, modernity's signature achievements (most obviously, the "scientific method" of modern science) could never have happened. Plato's expedient was the idea of a "transcendent" reality, higher than, and yet informing, our own.

As we've seen, it worked. But the means to that success – the idea of ontological transcendence, with all the accreted cultural baggage of two millennia – has taken on a life of its own in the interim and will not leave the stage (workshop, whatever). And neither empirical science nor its child the Enlightenment can achieve the proper distance from it to push it off. Think about it: Enlightenment discourse is chock full of universal truths, eternal values, and the formal perfection of mathematics and logic – and why not? In the sense in which we moderns are children of the Enlightenment, we want to keep those things around. But we cannot find a way to do so and cut the Platonistic cord to the pre-modern era and thereby fulfill the promise of modernity.

But what alternative could there be? Surely "post-modernism" is a cruel joke; and indeed contemporary pre-moderns point to that sorry spectacle as modernism's self-contradictory heresies come home to roost – the inevitable result of cutting oneself off, in the name of "progress", from the source of Being in the Platonic logos. We can't adjudicate that little spat here; but it does point to a characteristic dilemma, a Gordian knot we cannot simply cut with a single stroke.

Gerson on AristotleThe anti-Platonist must walk a very fine line. If your criticism isn't fundamental enough, you simply swap one version of Platonism for another. This is what Aristotle did, which is why the medieval version of what I (if not they) call Platonism is fundamentally Aristotelian. But in order to get at the real problem – to pull the weed out by the roots, as you would thereby see yourself as doing – you concede the very ideas at issue. This is why the best "post-modernism" can do, once it has conceded a fundamental distinction between (let's say) order and chaos, is to come down boldly on the side of chaos rather than order. This approach too has its merits, I must concede; but it tends to smack of desperation (or worse), and – perhaps by design, not that that helps – has little staying power.

...

A better strategy is to give up on the single decisive stroke and to play the long game, even given, or perhaps because of, the high stakes. We can't pull up the big weed all at once, but we can pull up one little weed after another, and say, each time, "see, here's another one", carving out an anti-Platonistic practice an inch at a time. But to do this we must decide: what, finally, is the problem with Platonism, and when and how should we object to it? It's all very well for philosophers to reject Plato's "transcendent" reality, but what does that mean for our actual practice of weed-pulling? Argh: see how it works? Even in vowing to avoid the Platonistic pull toward abstraction, we find ourselves bound to generalize. All we can do here is to remind ourselves that generalization itself is not the problem, and press on.

Remember what I said above about Platonism's strength: all the arrows point in the same direction, giving it the tremendous internal coherence necessary for the very real intellectual advances of Athenian philosophy to take hold. This is where we will find its characteristic flaw. Consider an artificially pure example to get the sense of it. Your basic pre-modern Platonist, whether contemporary or historical, assimilates all phenomena to his hierarchical model (Ideal at the top, toward which all things aspire in their way; humans caught in the middle, struggling to swim; merely physical nature pulling us down). Reason is pure contemplation of the eternal; empirical observation depends on the here-and-now. Real morality is a reflection of the good-in-itself, not utilitarian expedience. Happiness itself extends beyond mere physical health [notice how easy it is to run truisms together with tendentious metaphysics] toward spiritual communion with (again) the eternal. Real beauty too is eternal, and true art an attempt to capture it or at least point us toward it, while contemporary fads, whether empty conceptual games or decadent wallowing in mere sensuality, pull us down toward the material world and our animal nature.

And so on. We moderns may (or may not) regard those particular attitudes as outdated, and I have used the appropriate language to suggest this; but it is the pattern that we are concerned with here. (Again, our paradoxical lesson: to overcome Platonism we must knowingly risk it in ourselves – compare Nietzsche's complex and ambivalent attitude toward the "will to truth".) It's not so much that each point here is false, but instead that they are basically thought to be ultimately the same one: up toward transcendence. Indeed, this lesson itself is that same point again: up toward Up. In seeing it we take another step into the light, letting our blinking eyes adjust to it as we ascend toward the Sun.

It is this conceptual conflation – not so much the horizontal conflation of truth and goodness and beauty, but the vertical one, e.g. of truth with Truth – at which we may point our figurative weed-killers. This can take some real work, not least because to the extent that we allow our preconceived idea of the target – here, a tendency toward conflation, against which we must deploy an ability to make proper distinctions – to dictate our procedure, we allow it to slip our net. For what seems a conflation in one case is manifested in another as an untenable conceptual dualism. (And, as we might expect by now, vice versa.)

Not incidentally, in allowing our preconceptions, however necessary, to dictate our method of combating Platonism, we once again succumb to Platonism itself. Platonism tells philosophers to use right reason to arrive at stable doctrine – to describe the world rightly, the way it really is, not simply how it appears or how we would like it to be. If we once get things right, philosophically speaking, our doctrine will be ideally stable, as the eternal verities are called just that for a reason: they don't change. Surely we can't decide that things are one way and then switch to another way of talking when we feel like it – that's what sophists do, which it was the whole point of Socrates's early philosophy to reject.

In other words, our resistance to these conflations could – to the extent that we thought of our criticisms as true, or of ourselves as acting rightly, philosophically speaking, even in the absence of doctrine – be spun not as a rejection of Platonism, but as an affirmation of truth qua Truth. And yet that Platonism always buries its detractors in this way – that at the end of every skeptical road the dogmatist lies waiting to package up the result into a shiny new doctrine – is the very reason we must ultimately reject it, if we are to stand, as the first moderns demanded we do, on our own feet. This, not subjection to "transcendent ideals", is what it is to be the rational animal.

-----

And so we have barely begun. (I told you we might have to play the long game.) For next time consider this. We know – we know – that skepticism is false. We have plenty of knowledge. But at least skepticism gives us the leverage to hold truth at arm's length – neither too near nor too far. In one sense this is why it is false: even in its most defensible forms, it is inconsistent in the way that relativism is (which is why we might start there sometime instead). But it also creates a space to plot our next move.

Posted by Dave Maier at 12:10 AM | Permalink

Comments

Hardly anybody today admits to being a Platonist. To do so invites the assumption that one subscribes to Plato's most well-known doctrine, the Theory of Forms (or Ideas), which literally no one does anymore.

Never read any philosophy of mathematics?

Posted by: Thony C | Feb 18, 2013 6:45:11 AM

My personal feeling, and I hope this doesn't sound ridiculous, is that English-language speakers at least are going to have a very hard time getting away from Platonism. The two most common words we use, so at the very bottom of our language, are "the" and "a" (or "an"), and these words embody particularity and form, it seems to me. The table and a table. That's got to leave a mark, although personally I think a good one.

Posted by: oldman | Feb 18, 2013 7:16:24 AM

I would like to congratulate the author for discovering Pragmatism, which Hilary Putnam once praised for being fallibilist, that is, incremental and anti-absolutist without succumbing to skepticism.

Posted by: Phillip Deen | Feb 18, 2013 7:51:23 AM

Very interested to see where you are going to take this, Dave!

Posted by: Abbas Raza | Feb 18, 2013 10:20:07 AM

Let’s not forget, as Iris Murdoch long ago pointed out, there’s both an ascending AND a descending dialectic in Plato.

Second, we still have failed to fully appreciate what it means to “philosophize” in the Platonic sense at least insofar as it comes to communicating the fruits of philosophical labor, as the dialogue form so eloquently attests. Indeed, would we do well to think long and hard about what Plato meant by dialogue.

I don’t know anything about Platonism, but I find myself aptly described as a “Platonist” in several respects, for motley reasons found in several well-known philosophical works by Murdoch and, more recently John M. Cooper (on emotions, ‘ways of life,’ etc.), but also those spelled out or discovered (in no particular order) in Francisco J. Gonzalez’s Dialectic and Dialogue: Plato’s Practice of Philosophical Inquiry (1998), T.K. Seung’s Intuition and Construction: The Foundation of Normative Theory (1993), Martin Warner’s Philosophical Finesse: Studies in the Art of Rational Persuasion (1989), A.W. Price’s Virtue & Reason in Plato and Aristotle (2011), and Christopher Bobonich’s Plato’s Utopia Recast: His Later Ethics and Politics (2002). And to the extent Socrates is identified with Plato, my fondness for the latter is that much greater.

Posted by: Patrick S. O'Donnell | Feb 18, 2013 10:22:28 AM

You get the distinct impression that Plato just didn't get Socrates, despite spending so much time with him.

Posted by: Owen | Feb 18, 2013 10:39:04 AM

It's fair to say that Platonism haunts modern analytic philosophy. On the one hand, most are tripping over themselves to ally themselves with the sciences. On the other hand, the very language with which the sciences work (mathematics, the language of measurement) is extremely difficult to make sense of without some kind of "spooky" Platonic doctrine. This conflict is a conflict within science itself, within our best mode of knowledge-acquisition.

Posted by: Joe | Feb 18, 2013 10:43:49 AM

I rather suspect Plato "got Socrates" better than Socrates "got" himself.

Posted by: Patrick S. O'Donnell | Feb 18, 2013 11:01:50 AM

Maybe Platonism is an evil or false doctrine to be uprooted, but Maier gives us hardly any reasons for thinking so, in the above rant. Nor does he give any examples of uprooting Platonism one square inch at a time, his suggested strategy to combat The Thing. He pulls up no small weeds, himself, and gives no examples of such, though obviously a programmatic or review article need not get into many specifics. Here, we get none at all.

He neglects to mention that Platonism is alive and well in the philosophy of mathematics, being espoused by such a luminary as Kurt Goedel. Gödel (1944) stated,

//Classes and concepts may, however, also be conceived as real objects, namely classes as “pluralities of things,” or as structures consisting of a plurality of things and concepts as the properties and relations of things existing independently of our definitions and constructions.

It seems to me that the assumption of such objects is quite as legitimate as the assumption of physical bodies and there is quite as much reason to believe in their existence. They are in the same sense necessary to obtain a satisfactory system of mathematics as physical bodies are necessary for a satisfactory theory of our sense perceptions and in both cases it is impossible to interpret the propositions one wants to assert about these entities as propositions about the “data,” i.e., in the latter case the actually occurring sense perceptions.//

Some secondary references are

http://www.cairn.info/revue-internationale-de-philosophie-2005-4-page-535.htm

What Platonism ? Reflections on the thought of Kurt Godel,
by Jaakko Hintikka


After Gödel: Platonism and Rationalism in Mathematics and Logic, by Richard Tieszen

===
Of course there are problems with Platonism in the natural sciences and in empirical inquiries, but even one area of plausible Platonism, as specified above, is enough to cast serious doubt on Maier's contention that seekers of truth are under some kind of obligation to fight evil Platonism, everywhere.

Posted by: Nik | Feb 18, 2013 12:53:12 PM

Well said Joe.

Posted by: flowers rainbows | Feb 18, 2013 1:09:14 PM

How does this fit in with what Richard Tarnas calls the Myth of Progress? Isn't the Myth of Progress informing both Platonist transcendentalist "up to Up" motions as well as postmodern anti-Platonist attempts at progress beyond such a thing?

Tarnas on the Myth of Progress: http://www.cosmosandpsyche.com/PDF/CosmosAndPsyche/RevisionRiteofPassage.pdf

Posted by: Jonah Dempcy | Feb 18, 2013 1:26:29 PM

Plotting the next move? Consider the possibility of finding a counter to Platonism in Plato himself! Here in this piece we find only a sore from the sting Socrates leaves behind (91c) or someone who ends up fated to parrot a fraudulent account of the interest (507a).

The "up up up" angle tacks on a dubious and superficial veneer - and, like Sam Harris taking literalist, fundamentalist posits as inherently valid, goes on to attack a strawman while affirming the same dubious premises.

There is no surface level, complete exposition which would immediately make clear the level of vulgarism here. Better to heed the carpet crawlers, perhaps pausing by 7th Letter 341-345 on the way into the tissue. "Got to get in to get out."

Posted by: XHerakleitos | Feb 18, 2013 2:34:51 PM

"Hardly anybody today admits to being a Platonist. To do so invites the assumption that one subscribes to Plato's most well-known doctrine, the Theory of Forms (or Ideas), which literally no one does anymore."

The switch has been from [P]latonist to [p]latonist. I see few of the former, many of the latter. My rough estimate is that at least half of the philosophers working on morality, mathematics, and metaphysics, respectively, are small-p platonists.

Posted by: Matthew | Feb 18, 2013 2:45:39 PM

I often find it useful to at least pretend to be a Platonist when doing mathematics.

Re: the Godel reference above, I remember reading that he believed his Platonic philosophy contributed to his proving of his famous incompleteness theorems.

Posted by: hjk | Feb 18, 2013 3:18:37 PM

Platonism is disease endemic to mathematics and theoretical physics. Just read Hawking's latest blather about "multiple-universes"--can anyone imagine a more useless theology?

Posted by: KD | Feb 18, 2013 3:50:17 PM

You can't have the Platonic or the Socratic thingy without the proper intelligence.

Hence, the search for the proper intelligence.

(The one that is not a fatal mutation.)

Posted by: Dredd | Feb 18, 2013 5:41:32 PM

Plato and Aristotle are from Athens "Ronald Reagan Period", when the reactionaries took over.
All the great ideas came before them.

Aristotle got just about everything wrong, and his reputation for so long was prolonged by a superstition based Catholic Church.

Modern Science started with the rejection of Aristotle.

Plato was a elitist, and badly interpreted human nature.

Posted by: Dave Ranning | Feb 18, 2013 8:14:19 PM

KD wrote:
Platonism is disease endemic to mathematics and theoretical physics. Just read Hawking's latest blather about "multiple-universes"--can anyone imagine a more useless theology?

Whether it is useful or useless to you has no bearing on whether it is true, of course (unless you are an anti-realist who doesn't believe in objective truths independent of what humans can discover). Actually, going beyond even the physics multiverse in which all universes share the same fundamental laws of physics, a broader and more metaphysical multiverse hypothesis has the potential to save platonism from its duality of perfect forms vs. imperfect matter. The universe of modern physics seems to be describable entirely in mathematical terms, so why couldn't it be that all mathematical forms "exist" in exactly the same sense, and that our universe just happens to be one of them? That way there is no need to suppose that we live in a "lower" material world separate from the "higher" mathematical forms--see physicist Max Tegmark's speculations about the "level IV multiverse" here (and for a discussion of how various philosophical problems become easier to resolve if we postulate that all possible worlds are on equal footing ontologically, see the modal realism of philosopher David Lewis).

Posted by: Jesse M. | Feb 19, 2013 2:07:23 AM

Jesse M. -- As I said, Platonism is a disease endemic to mathematics and theoretical physics. Although truth may be objective, I don't know how you establish the "truth" of a mysterious, non-empirically verifiable "theory," unless you are a Platonist, and believe in invisible numbers and in the fantastic non-phenomena of "possible worlds." Further, even if this "truth" were "objectively" true (even though it is a truth seemingly without a real object), I don't see how this theological belief, in contrast to say, transubstantiation, is in any way useful for anything or anyone. "Language is idling"

Posted by: KD | Feb 19, 2013 12:54:01 PM

I don't know how you establish the "truth" of a mysterious, non-empirically verifiable "theory,"

Whoever said anything about "establishing" it? We are talking about metaphysics, not science--all that most philosophers dealing in metaphysics hope to do is present arguments as to why some view is more plausible than the alternative. And hopefully you agree the belief that mathematical statements have no objective truth independent of human judgments (anti-platonism), or the belief that our universe is unique and that there are no others, are both equally "non-empirically verifiable".

Further, even if this "truth" were "objectively" true (even though it is a truth seemingly without a real object), I don't see how this theological belief, in contrast to say, transubstantiation, is in any way useful for anything or anyone. "Language is idling"

Platonism is not "theological" because it doesn't deal with God, nor is anyone asked to accept anything on faith (same goes for speculations about multiverses). And I don't know why you say "it is a truth seemingly without a real object"--a platonist would certainly see mathematical forms as "real objects", and according to the view I described earlier, the physical universe we live in and all the "objects" it contains is just a particular example of a mathematical form. Of course this goes beyond what most mathematical platonists believe, but I think it's a view that has the same appeal as any monistic metaphysics: theoretical simplicity. That's why I find it plausible, though I don't claim there is any way to "establish" that it is definitely true.

As for utility, that's in the eye of the beholder. I would like to know the truth about how reality works, so any such knowledge would be "useful" in satisfying that desire, regardless of practical effects on my life. Many obscure areas of science have no real practical value despite being empirically verifiable, would you condemn such fields of study (say, the study of evolutionary relationships between sauropod dinosaurs) on the same grounds? And you could also condemn all non-applied mathematics on those grounds too, with the added critique that math is not really "empirically" verifiable (although mathematicians, unlike philosophers, have clear agreed-upon procedures for verifying whether a proof of a theorem is valid).

Posted by: Jesse M. | Feb 19, 2013 2:00:55 PM

Jesse M.--As I was saying, as displayed in your posts, Platonism IS an incurable disease usually contracted by close contact with mathematical symbolism. I agree with you that Platonism is different from theology: a belief in the existence of God actually matters, there are real existential consequences for such a belief, whereas a belief in the existence of numbers doesn't matter at all. But "establishing the objective truth" of God and "establishing the objective truth" of the existence of unicorns (which as you know MUST exist in some possible world) are similar in that the procedure for determining what "corresponds" to the proposition does not involve any kind of scientific observation. . . unless you care to enlighten me on how we can KNOW that "unicorns exist" based on experience?

Posted by: KD | Feb 19, 2013 2:33:20 PM

KD wrote:
there are real existential consequences for such a belief, whereas a belief in the existence of numbers doesn't matter at all.

You ignored my point about the desire for truth as an end in itself, which of course predates "mathematical symbolism" (what would be the "real existential consequences" of the various pre-socratic speculations about the nature of reality, like Thales' idea that everything was fundamentally made of water? Was anyone at the time suggesting that such ideas would be the basis for new practical technologies?) Care to answer my question about whether your critique would extend to areas of science with no practical/technological applications? You sound like the type of humanist who sees the world exclusively in human-centric terms and thus sees any knowledge that doesn't have practical ramifications for the external life of the average (neurotypical) human as a waste of time.* But many of us, especially the non-neurotypicals, live a large portion of our lives in inner worlds of imagination and ideas, and thus ideas can have great value in themselves. From my perspective, I see science's primary value in terms of the mental picture it gives us of reality, with technology as a secondary, less interesting value. To quote H.P. Lovecraft, in his typical high-flown style:

All I want is to know things. The black gulph of the infinite is before me . . . I have no use for the machine age or any of its conceptions, methods, & ideals. I have use only for abstract cognition without social or utilitarian connotations; the thing which Thales & Anaxagoras & Heraclitus went after, & which was clearly definable by the word philosophy until those pragmatical puffballs Socrates & Plato threw a monkey-wrench into the works & crippled human thought for the next two millennia. Now it is a matter of perfect indifference to me whether or not baser interests cluster round the search for truth & lick the molasses-drops that ooze out of the fact-barrel. This apelike parasitism of the herd means nothing either for or against the abstract is-or-isn't quest which Thales began, Democritus continued, & Einstein prolongs. If machine-culture chooses to worship "science", that's its own business. It doesn't imply that the abstract process of cognition-craving turns about & reciprocally worships machine-culture! . . . Cognition, as such, is completely without social or aesthetic implications except so far as it places certain obvious contradictions of natural laws, & certain pointless exaltations of empty trivialities, in a light so unfavourable as to encourage obsolescence. It is nobody's tool or handmaiden—it is itself alone. Practically speaking, the mind likely to worship pure cognition most sincerely is that most of all opposed to industrialism & standardisation. Cognition is that branch of human desire & celebration most antipodally removed from anything envisaged or wished by Thomas A. Edison, Henry Ford, & the late Charles P. Steinmetz. It is the enemy of urban civilisation as it is the enemy of all handicaps which cripple the free individualistic excursions of the disinterested intellect into unknown cosmic space. It is the sworn ally of beauty because it is itself one of the supreme forms of beauty—the catharsis of a primal, titanic urge which links man to the uttermost gulfs of dramatic immensity. It is one with the greatest music & the loftiest poetry—being perhaps a glimpse of the liberating & expanding reality which both are blindly seeking.

Or a slightly more down-to-earth quote from Einstein:

I have never looked upon ease and happiness as ends in themselves — this critical basis I call the ideal of a pigsty. The ideals that have lighted my way, and time after time have given me new courage to face life cheerfully, have been Kindness, Beauty, and Truth. Without the sense of kinship with men of like mind, without the occupation with the objective world, the eternally unattainable in the field of art and scientific endeavors, life would have seemed empty to me. The trite objects of human efforts — possessions, outward success, luxury — have always seemed to me contemptible ... It is enough for me to contemplate the mystery of conscious life perpetuating itself through all eternity, to reflect upon the marvelous structure of the universe which we dimly perceive, and to try humbly to comprehend an infinitesimal part of the intelligence manifested in nature.

Some have argued that "platonism" is as much a temperament as a philosophical view, so that it's a sort of category covering any dreamers for whom those " inner worlds of imagination and ideas" I mentioned are just as important, or more so, than the outer world of social interaction--see for example Coleridge's comment quoted here along with the further discussion in the essay (unfortunately the rest of it, past the first page, doesn't seem to be available for free online). I certainly don't begrudge people lacking such a temperament from having no interest in ideas without any practical application in their day-to-day lives, but perhaps you should be more tolerant if others like me place value in ideas that seem pointless to you; to some extent it may just be a matter of differently-wired brains.

*On this subject, see the notion of the "two cultures" originated by C.F. Snow--Snow himself seems to have seen the value of science mainly in practical terms, but the idea has grown beyond his original essay somewhat. I also think this distinction between scientific and humanistic "cultures", and their different priorities and different ways of thinking, is reflected to a large degree in the distinction between "analytic" and "continental" philosophers--I get the impression that Dave Maier's philosophical background is likely continental-centric, since various forms of platonism, especially mathematical platonism, are common in analytical philosophy.

Posted by: Jesse M. | Feb 19, 2013 3:33:17 PM

Jesse, this may be a distraction, but Max Tegmark's 'level 4 multiverse' seems really strange to me. Basically, it seems like such a scheme would pose unusually severe evil demon type problems, since it seems to actuate every possible logically consistent fantasy such a demon could think up. Here's one particular implementation, involving a family of universes with 'Truman Show' style walls at the end of the world. Universe U(k) is given by laws:

U(k) = L_our universe, (R - R_Tegmark) < k
Anything else at all, R - R_Tegmark >= k

So basically you have "TV screens" surrounding the earth at various large distances. The screens beam to us images that make it seem like our laws of nature extend out to infinity. By construction you couldn't tell them apart from our universe, except maybe by crashing through the screen.

Normally I'd say we have a radical skepticism problem here, but I'd reject universes with this bizarre (R - R_Tegmark) structure as ad-hoc and unmotivated. Here though it seems like if all mathematical structures actually do exist, then universes U(k) do all exist; certainly they seem like perfectly cromulent mathematical structures, if a bit weird from the conventional perspective. There's a continuous infinity of such universes for different k, and indeed a further infinity corresponding to the set of logical possibilities "outside the screen." Far from ignoring such universes, we'd have to treat our belonging to one of them as having probability one. Heck, the laws outside could be the *same*, just with that dyson sphere of TVs at some large distance - which is to say our own laws everywhere, just with some exceedingly strange initial conditions leading to the evolution of a pretty weird species of klingon. Further, for every such conceptual imagination it seems we have to either find a *logical* internal inconsistency, or grimace and say it's actually (much!) more likely we're in some such scenario than in the usual world.

I suppose one could always say such issues don't really ramify observationally. Nevertheless, it would still seem strange to me to think, winging my way from here to Alpha Centauri in my transwarp spaceship, that for the portion of my trip past the last known position of Voyager 1 I had to expect a high likelihood of encountering an abrupt transition in natural laws.

I always thought Tegmark had gone bonkers, but many people (including some philosophers, who find resonances with certain thoughts of David Lewis) seem to find this worth taking seriously, and not in a 'how can we possibly know anything' sort of way. Probably I'm missing something pretty simple, but basically to me it seems like once we start saying all logical possibilities are honest-to-goodness universes we're stuck with an infinite number of ones that would fool us.

Posted by: prasad | Feb 19, 2013 4:05:59 PM

Jesse M. - I think in the Greek there is a distinction between activity and energy. One is action with a purpose, and the other is action for the sake of itself. I have no issue with mathematics, logic, art, theoretical science, or imaginative fiction. But logic isn't the "essence" of language, and metaphysics doesn't reveal the "essence" of the world (or of every possible world). I deeply respect the impulse behind metaphysics. . . but metaphysics is ultimately language about language and doesn't actually say anything meaningful about the world, let alone "Realty" or the "Truth". There are no metaphysical "theories", only different metaphysical "diseases". "Objects exist."--yes, I can talk about objects; "2 + 2 = 4"--yes, I can sometimes give that equation a physical interpretation--but this doesn't reveal some metaphysical truth about "number". And why do metaphysics if its not giving us some kind of a priori transcendental insight into the nature of reality?

Posted by: KD | Feb 19, 2013 4:43:44 PM

I found it rather amusing, just a couple days after I read Maier's statements, such as

//Hardly anybody today admits to being a Platonist. [...]

we can pull up one little weed after another [of some portion or instance of Platonism] //

I went to my notifications from Philosophical Papers, and saw this item (from a few days earlier)...

=====
Philosophical Papers notification, Feb 10th 2013 GMT

DIRECT SUBMISSION
Simon B. Duffy (2012). Badiou’s Platonism: The Mathematical Ideas of Post-Cantorian Set-Theory. In Sean Bowden & Simon B. Duffy (eds.), Badiou and Philosophy. Edinburgh University Press.


================
I was not very familiar with Badiou, but Google turned up a number of papers on his particular Platonist approach, for example:

================
Platonic Meditations: The Work of Alain Badiou
JUSTIN CLEMENS


http://web.warwick.ac.uk/philosophy/pli_journal/pdfs/Vol_11/11_10_Clemens.pdf

====

Badiou’s Number: A Critique of Mathematics as Ontology

by Ricardo L. Nirenberg and David Nirenberg

http://criticalinquiry.uchicago.edu/uploads/pdf/nirenbergs_badiousnumber_complete.pdf

Badiou is a Platonist for whom the huge universe of set-theoretical objects is actually real. In this he is like many nonphilosophical
“working mathematicians,” who simply take for granted the reality of what they spend so much time thinking about, much as a gambit may seem as real as a maple tree to a chess player. But unlike any mathematician we know (and herein lies the real radicalism) for Badiou those
set-theoretical objects, those multiplicities, are not only real, they are the
only real, the only objects that are, the only basis for ontology.3
========

Posted by: Nik | Feb 20, 2013 5:29:38 PM

Nik. I don't think it's that radical to describe something non-physical as 'real' if it has a causal effect on physical things. I would consider information states to be real.

Posted by: Georg | Feb 21, 2013 12:35:01 AM

KD:
I have no issue with mathematics, logic, art, theoretical science, or imaginative fiction.

Then do you also have no problem with imaginative speculations about truths of reality that we might have no way of verifying?

But logic isn't the "essence" of language, and metaphysics doesn't reveal the "essence" of the world (or of every possible world).

I'm not sure if you use "essence" in some technical philosophical sense (it has a technical definition in Aristotelian philosophy, for example) or in a more colloquial sense, though I would guess the latter. I also don't know what you mean by "reveal"--if you mean something like "demonstrate what the essence of the world actually is", didn't I already say that I thought there was no way to verify metaphysical speculations? But that doesn't stop us from wondering and imagining various schemes for what the answer to metaphysical questions could be, and forming personal judgments about the coherence and elegance of different possible schemes.

I deeply respect the impulse behind metaphysics. . . but metaphysics is ultimately language about language and doesn't actually say anything meaningful about the world, let alone "Realty" or the "Truth".

That is a perspective many philosophers, especially in analytic philosophy, would disagree with--these philosophers would say that various metaphysical statements (like "do other possible worlds exist") are either objectively true or objectively false, even if they do not claim we humans can ever prove their truth or falsity. Do you have some argument as to why you are confident they are wrong?

There are no metaphysical "theories", only different metaphysical "diseases".

That sounds rather like a metaphysical claim itself (i.e. a claim that metaphysical statements have no definite truth-values, so that it's meaningless to provide theories about what the truth-values might be).

"Objects exist."--yes, I can talk about objects

What about objects in other possible worlds? For that matter, what about objects beyond the boundary of the observable universe, i.e. anything more than about 47 billion light years away from us? They are both equally un-verifiable empirically (having no causal influence on any physical events in our neighborhood), so I don't see why the first is any more "metaphysical" than the second. Would you confidently say that a statement such objects do exist is neither objectively true nor objectively false, and that the belief that it is either true or false is just a sort of thought-disease?

"2 + 2 = 4"--yes, I can sometimes give that equation a physical interpretation--but this doesn't reveal some metaphysical truth about "number".

You think that numerical statements only have objective truth values if they can be given a "physical interpretation"? What if physics ends up showing that the number of particles (or bits) in the observable universe is finite, would you then say that any mathematical statement that deals with an infinity of cases, like "for every prime number, there is another prime number larger than it" is somehow meaningless, neither true nor false?

And why do metaphysics if its not giving us some kind of a priori transcendental insight into the nature of reality?

Again, because it can give interesting imaginative pictures about what the "nature of reality" might be like, even if we can never have definitive answers as a religious fundamentalist might desire.

Posted by: Jesse M. | Feb 21, 2013 1:45:57 AM

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